You can't do it directly, but there are a few devices that will let you do this that put USB storage or printers on your network.
One of the best ones that I have seen is the Cirago NUS2000. It has four USB ports and can have both storage devices and printers hooked up to it. It uses a wired ethernet cable to plug into your router or network switch. It is available for $60 to $70. There is a review of it at:
http://www.pcmag.com/article2/0,2817,2391004,00.asp
The only real drawback is that it is slow. You can find the actual device at many resellers, including Amazon and NewEgg.
Here is a shopping link:
http://www.amazon.com/Cirago-International-NUS2000-CiragoLink-Network/dp/B005C31H34/
If you want something less expensive that requires internet access to set up and use (but you can access anywhere over the internet), you can also look at the Pogoplug. You can get an older model of this at Amazon for only $19:
http://www.amazon.com/Media-sharing-device-black-POGO-P22/dp/B005IULTI4/